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hilbert_space_mean_value [2013/08/31 23:43] nikolaj |
hilbert_space_mean_value [2014/03/21 11:11] (current) |
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| ===== Hilbert space mean value ===== | ===== Hilbert space mean value ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $V$...Hilbert space | | + | | @#55CCEE: context | @#55CCEE: $V$...Hilbert space | |
| - | | @#FFBB00: $\overline{\cdot}_{-}:\mathrm{Observable}(V)\times V\to\mathbb R$ | | + | | @#FFBB00: definiendum | @#FFBB00: $\overline{\cdot}_{-}:\mathrm{Observable}(V)\times V\to\mathbb R$ | |
| - | | @#FFBB00: $\overline{A}_{\psi}:=\frac{\langle \psi | A\ \psi \rangle}{\Vert \psi \Vert^2}$ | | + | | @#FFBB00: definiendum | @#FFBB00: $\overline{A}_{\psi}:=\frac{\langle \psi | A\ \psi \rangle}{\Vert \psi \Vert^2}$ | |
| ==== Discussion ==== | ==== Discussion ==== | ||
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| $AB=BA\implies \gamma\in [-1,1]$. | $AB=BA\implies \gamma\in [-1,1]$. | ||
| - | ==== Context ==== | + | ==== Parents ==== |
| - | === Requirements === | + | === Context === |
| [[Hilbert space]] | [[Hilbert space]] | ||
